Today, you will be going through the lesson with a partner, your textbook, and a possible internet search. For solving the problems in the warm-up, you really only need to use your graphing calculator to find the inverse sine, inverse cosine, or inverse tangent. Go ahead. Do it. Just make sure your calculator is in the correct mode, otherwise your answers will look weird.
Some ideas you might need to refresh yourself on:
Graphing the trig functions
Domain
The Horizontal Line Test
As you go through figuring some of this lesson out, you should notice something about restrictions on the domain. We need to restrict the domain so that the inverse trig functions are, well, functions! To do this, we look at half a period for sine and cosine, and one full period for tangent.
Another way to look at the inverse sine, inverse cosine, and inverse tangent function is by calling them arcsin, arccos, and arctan. It's just a different way to represent the inverse trig functions. So now, when you get to Example 1, you will notice something weird about the answer for part d. Shouldn't the answer be 1000°? Why isn't it? (Think about what you just went over leading up to this question...)
Don't forget your homework: p. 324 #1-13 odd, p. 337 #1-19 odd, and p. 342 #1-13 odd
Today, you will be going through the lesson with a partner, your textbook, and a possible internet search. For solving the problems in the warm-up, you really only need to use your graphing calculator to find the inverse sine, inverse cosine, or inverse tangent. Go ahead. Do it. Just make sure your calculator is in the correct mode, otherwise your answers will look weird.
Some ideas you might need to refresh yourself on:
As you go through figuring some of this lesson out, you should notice something about restrictions on the domain. We need to restrict the domain so that the inverse trig functions are, well, functions! To do this, we look at half a period for sine and cosine, and one full period for tangent.
Another way to look at the inverse sine, inverse cosine, and inverse tangent function is by calling them arcsin, arccos, and arctan. It's just a different way to represent the inverse trig functions. So now, when you get to Example 1, you will notice something weird about the answer for part d. Shouldn't the answer be 1000°? Why isn't it? (Think about what you just went over leading up to this question...)
Don't forget your homework: p. 324 #1-13 odd, p. 337 #1-19 odd, and p. 342 #1-13 odd